Answer:
The value of f(-3) = -3
Step-by-step explanation:
It is given that f(x) = 3(x+2), in order to find f(-3), we have to substitute x = -3 into the function, f(x) :
f(x) = 3(x+2)
f(-3) = 3(-3+2)
= 3(-1)
= -3
Centre= (-1,-2)
Radius=5
All working shown on photo
Since you know the triangles are congruent/equal, you know that:
m∠A and m∠X are congruent and have the same angle, and so does:
m∠B and m∠Y
m∠C and m∠Z
A triangle is 180°. (the 3 angles have to add up to 180) To find m∠B, you can do this:
m∠A + m∠B + m∠C = 180°
21° + m∠B + 35° = 180° Subtract 21 and 35 on both sides
m∠B = 124° your answer is C
Answer: the cost per unit of gas is $0.28
Step-by-step explanation:
Let x represent the cost per unit of electricity.
Let y represent the cost per unit of gas.
During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $333. This is expressed as
500x + 100y = 333 - - - -- - -- - -- -1
The next month, 400 units of electricity and 150 units of gas were used for a total cost of $286. This is expressed as
400x + 150y = 286 - - - - - - - - - --2
Multiplying equation 1 by 400 and equation 2 by 500, it becomes
200000x + 40000y = 133200
200000x + 75000y = 143000
Subtracting, it becomes
- 35000y = - 9800
y = - 9800/- 35000
y = 0.28
Substituting y = 0.28 into equation 2, it becomes
400x + 150 × 0.28 = 286
400x = 286 - 42 = 244
x = 244/400 = 0.61
Answer:
<h2>x = 24</h2>
Step-by-step explanation:
Multiply through by the LCM that's 6 in order to eliminate the fraction
That's
Using the addition property add 2x to both sides of the equation
That's
<u>Divide both sides by 5</u>
We have the final answer as
<h3>x = 24</h3>
Hope this helps you
